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arXiv · 2605.23256

Toeplitz operators on pluriharmonic Fock spaces

Vladan Jaguzović·Đorđije Vujadinović
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Abstract

In this paper, we study Toeplitz operators with a positive symbol on pluriharmonic Fock spaces over $\mathbb{C}^{n}.$ We characterize the conditions under which the Toeplitz operator $T_\mu$ is bounded, compact, or belongs to the Schatten class $S_1$. Furthermore, we give a necessary condition for a Toeplitz operator to belong to $S_p$ for $p \geq 1,$ and under an additional assumption, we prove the sufficiency of the condition.

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Vladan Jaguzović, Đorđije Vujadinović. 2026-05-22. Toeplitz operators on pluriharmonic Fock spaces. https://arxiv.org/abs/2605.23256

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